413312540200 has 144 divisors (see below), whose sum is σ = 1118222625600. Its totient is φ = 141658876800.

The previous prime is 413312540167. The next prime is 413312540213. The reversal of 413312540200 is 2045213314.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40282671 + ... + 40292929.

It is an arithmetic number, because the mean of its divisors is an integer number (7765434900).

Almost surely, 2^413312540200 is an apocalyptic number.

413312540200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413312540200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559111312800).

413312540200 is an abundant number, since it is smaller than the sum of its proper divisors (704910085400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413312540200 is a wasteful number, since it uses less digits than its factorization.

413312540200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14400 (or 14384 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 413312540200 its reverse (2045213314), we get a palindrome (415357753514).

The spelling of 413312540200 in words is "four hundred thirteen billion, three hundred twelve million, five hundred forty thousand, two hundred".